Jett - i like but is becoming popular
Jethro - dont like
Jeremiah - ok but may be a bit long with both middle names
Levi - i love but i think its becoming popular too
Cale - Nice prob my fav on your list
Zion - i knew a girl zion so seems more feminine to me
Judah - also Nice
Rex - dont like


instead of Cale you could go Caden, Cadel or Kade
instead of Rex what about Tex or Dex (or Dexter)
Leroy
Tye Jye or Kye
Kyan
Nixon (ds1 name)
Tyron (ds2 name)
Ezekeil
Kyuss
Malachi
Nash
i think a shortish name would suit with the 2 middle names

Cale Livingstone Guy looks and sounds good